On unitary representations of groups of isometries

2004/06/13 by Vladimir Uspenskij, V. V. Uspenskij, Uspenskij, V. V.
Mathematics · #22D10 #43A35 #43A65 #54E35 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT) #math.RT #msc:22D10 #msc:43A35 #msc:43A65 #msc:54E35

paper · pdf · doi:10.48550/arxiv.math/0406253

4 pages

arxiv created 2004/06/13 · openalex publication_date 2004/06/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Is the topological group of all motions (including translations) of an infinite-dimensional Hilbert space H isomorphic to a subgroup of the unitary group U(H)? This question was asked by Su Gao. We answer the question in the affirmative.

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